GENERALIZED AVERAGED GAUSSIAN QUADRATURE FORMULAS WITH MODIFIED MATRICES
Abstract
Generalized averaged Gaussian quadrature formulas may yield a smaller error than
Gauss quadrature rules. When moments or modified moments are difficult to compute, these formulas can serve as good substitutes. However, generalized averaged
Gaussian quadrature formulas may have external nodes, i.e. nodes outside the convex hull of the measure corresponding to the Gauss rules. This would make them
unusable when the domain of the integrand is limited to this convex hull. In this
paper we investigate whether removing some of the last rows and columns of the
matrices determining generalized averaged Gaussian quadrature rules will produce
quadrature rules with no external nodes.
Source:
6th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS, 2016, 27-27Publisher:
- UNIVERSITY OF EAST SARAJEVO, MATHEMATICAL SOCIETY OF THE REPUBLIC OF SRPSKA
Institution/Community
Mašinski fakultetTY - CONF AU - Đukić, Dušan AU - Reichel, Lothar AU - Spalević, Miodrag PY - 2016 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5138 AB - Generalized averaged Gaussian quadrature formulas may yield a smaller error than Gauss quadrature rules. When moments or modified moments are difficult to compute, these formulas can serve as good substitutes. However, generalized averaged Gaussian quadrature formulas may have external nodes, i.e. nodes outside the convex hull of the measure corresponding to the Gauss rules. This would make them unusable when the domain of the integrand is limited to this convex hull. In this paper we investigate whether removing some of the last rows and columns of the matrices determining generalized averaged Gaussian quadrature rules will produce quadrature rules with no external nodes. PB - UNIVERSITY OF EAST SARAJEVO, MATHEMATICAL SOCIETY OF THE REPUBLIC OF SRPSKA C3 - 6th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS T1 - GENERALIZED AVERAGED GAUSSIAN QUADRATURE FORMULAS WITH MODIFIED MATRICES EP - 27 SP - 27 UR - https://hdl.handle.net/21.15107/rcub_machinery_5138 ER -
@conference{ author = "Đukić, Dušan and Reichel, Lothar and Spalević, Miodrag", year = "2016", abstract = "Generalized averaged Gaussian quadrature formulas may yield a smaller error than Gauss quadrature rules. When moments or modified moments are difficult to compute, these formulas can serve as good substitutes. However, generalized averaged Gaussian quadrature formulas may have external nodes, i.e. nodes outside the convex hull of the measure corresponding to the Gauss rules. This would make them unusable when the domain of the integrand is limited to this convex hull. In this paper we investigate whether removing some of the last rows and columns of the matrices determining generalized averaged Gaussian quadrature rules will produce quadrature rules with no external nodes.", publisher = "UNIVERSITY OF EAST SARAJEVO, MATHEMATICAL SOCIETY OF THE REPUBLIC OF SRPSKA", journal = "6th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS", title = "GENERALIZED AVERAGED GAUSSIAN QUADRATURE FORMULAS WITH MODIFIED MATRICES", pages = "27-27", url = "https://hdl.handle.net/21.15107/rcub_machinery_5138" }
Đukić, D., Reichel, L.,& Spalević, M.. (2016). GENERALIZED AVERAGED GAUSSIAN QUADRATURE FORMULAS WITH MODIFIED MATRICES. in 6th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS UNIVERSITY OF EAST SARAJEVO, MATHEMATICAL SOCIETY OF THE REPUBLIC OF SRPSKA., 27-27. https://hdl.handle.net/21.15107/rcub_machinery_5138
Đukić D, Reichel L, Spalević M. GENERALIZED AVERAGED GAUSSIAN QUADRATURE FORMULAS WITH MODIFIED MATRICES. in 6th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS. 2016;:27-27. https://hdl.handle.net/21.15107/rcub_machinery_5138 .
Đukić, Dušan, Reichel, Lothar, Spalević, Miodrag, "GENERALIZED AVERAGED GAUSSIAN QUADRATURE FORMULAS WITH MODIFIED MATRICES" in 6th MATHEMATICAL CONFERENCE OF THE REPUBLIC OF SRPSKA, BOOK OF ABSTRACTS (2016):27-27, https://hdl.handle.net/21.15107/rcub_machinery_5138 .